New higher derivative action for tensor multiplet in N=2 conformal supergravity in four dimensions

Abstract

We will use the covariant superform approach to develop a new density formula for $\mathcal{N}=2$ conformal supergravity which is based on a fermionic multiplet whose lowest component is a dimension-5/2 spinor. We will show that this density formula admits an embedding of the real scalar multiplet of [arXiv:1712.02309]. Upon using the embedding of the tensor multiplet into the real scalar multiplet, we will construct a new higher derivative action of the tensor multiplet in $\mathcal{N}=2$ conformal supergravity.

31 pages, References updated. Minor typos corrected

References in corpus (4)

• New supersymmetric higher-derivative couplings: Full N=2 superspace does not count!
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Cited by in corpus (1)

• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography